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Treewidth computations. II. Lower bounds. (English) Zbl 1220.68071
Summary: For several applications, it is important to be able to compute the treewidth of a given graph and to find tree decompositions of small width reasonably fast. Good lower bounds on the treewidth of a graph can, amongst others, help to speed up branch and bound algorithms that compute the treewidth of a graph exactly. A high lower bound for a specific graph instance can tell that a dynamic programming approach for solving a problem is infeasible for this instance. This paper gives an overview of several recent methods that give lower bounds on the treewidth of graphs.
For a review of Part I see ibid. 208, No. 3, 259–275 (2010; Zbl 1186.68328).

MSC:
68R10 Graph theory (including graph drawing) in computer science
05C05 Trees
05C51 Graph designs and isomorphic decomposition
05C85 Graph algorithms (graph-theoretic aspects)
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